Exponential Decay Functions

Question 1

Which statements are true about exponential decay functions? Check all that apply.The domain is all real numbers.As the input increases, the output increases.The graph is the same as that of an exponential growth function.The base must be less than 1 and greater than 0.The function has a constant multiplicative rate of change.

Revolt · Accepted Answer

The domain is all real numbers.; The base must be less than 1 and greater than 0.; The function has a constant multiplicative rate of change.

Question 2

The base, or rate of change, is.

Revolt · Accepted Answer

1/3

Question 3

The domain is.

Revolt · Accepted Answer

all real numbers

Question 4

The initial value is.

Revolt · Accepted Answer

1

Question 5

Which is an exponential decay function?

Revolt · Accepted Answer

f(x) = −2(0.7)x

Question 6

Jason estimates that his car loses 12% of its value every year. The initial value is $12,000. Which best describes the graph of the function that represents the value of the car after x years?

Revolt · Accepted Answer

f(x) = 12,000(0.88)x, with a horizontal asymptote of y = 0

Question 7

Which statements are true about exponential decay functions? Check all that apply.The domain is all real numbers.As the input increases, the output increases.The graph is the same as that of an exponential growth function.The base must be less than 1 and greater than 0.The function has a constant multiplicative rate of change.

Revolt · Accepted Answer

The domain is all real numbers.; The base must be less than 1 and greater than 0.; The function has a constant multiplicative rate of change.

Question 8

The initial value is.

Revolt · Accepted Answer

1; The initial value is.: 1; The base, or rate of change, is.: 1/3; The domain is.: all real numbers

Question 9

Jason estimates that his car loses 12% of its value every year. The initial value is $12,000. Which best describes the graph of the function that represents the value of the car after x years?

Revolt · Accepted Answer

f(x) = 12,000(0.88)x, with a horizontal asymptote of y = 0

Question 10

The base, or rate of change, is.

Revolt · Accepted Answer

1/3

Exponential Decay Functions Answers

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